The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis
In this paper we will extend the recently proposed weighted linear discriminant analysis (W_LDA) and fraction-step linear discriminant analysis (F_LDA) from one dimension vector form to the case of two dimension matrix form, which are called weighted two dimensional linear discriminant analysis (W_2...
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| Format: | Conference Paper |
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Institute of Electrical and Electronics Engineers
2009
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| Online Access: | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212309 http://hdl.handle.net/20.500.11937/17966 |
| _version_ | 1848749609895067648 |
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| author | Xu, T. Lu, C. Liu, Wan-quan |
| author2 | Loi Lei Lai |
| author_facet | Loi Lei Lai Xu, T. Lu, C. Liu, Wan-quan |
| author_sort | Xu, T. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we will extend the recently proposed weighted linear discriminant analysis (W_LDA) and fraction-step linear discriminant analysis (F_LDA) from one dimension vector form to the case of two dimension matrix form, which are called weighted two dimensional linear discriminant analysis (W_2DLDA) and fraction-step two dimension linear discriminant analysis (F_2DLDA), respectively. The motivation of this work is based on the recent research results on two dimensional principal component analysis (2DPCA) and 2DLDA showing that the two dimensional algorithms can save computational costs significantly and thus improve the classifiers performances. First, we derived these numerical algorithms in matrix form and then we implement these two new algorithms on ORL and YALE face databases. The experimentation results show that W_2DLDA produces the best performance among F_2DLDA, F_LDA and W_LDA. |
| first_indexed | 2025-11-14T07:23:40Z |
| format | Conference Paper |
| id | curtin-20.500.11937-17966 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:23:40Z |
| publishDate | 2009 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-179662017-10-02T02:26:56Z The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis Xu, T. Lu, C. Liu, Wan-quan Loi Lei Lai two dimensional linear discriminant analysis face recognition weighted linear discriminant analysis fraction-step linear discriminant analysis linear discriminant analysis In this paper we will extend the recently proposed weighted linear discriminant analysis (W_LDA) and fraction-step linear discriminant analysis (F_LDA) from one dimension vector form to the case of two dimension matrix form, which are called weighted two dimensional linear discriminant analysis (W_2DLDA) and fraction-step two dimension linear discriminant analysis (F_2DLDA), respectively. The motivation of this work is based on the recent research results on two dimensional principal component analysis (2DPCA) and 2DLDA showing that the two dimensional algorithms can save computational costs significantly and thus improve the classifiers performances. First, we derived these numerical algorithms in matrix form and then we implement these two new algorithms on ORL and YALE face databases. The experimentation results show that W_2DLDA produces the best performance among F_2DLDA, F_LDA and W_LDA. 2009 Conference Paper http://hdl.handle.net/20.500.11937/17966 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212309 Institute of Electrical and Electronics Engineers fulltext |
| spellingShingle | two dimensional linear discriminant analysis face recognition weighted linear discriminant analysis fraction-step linear discriminant analysis linear discriminant analysis Xu, T. Lu, C. Liu, Wan-quan The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| title | The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| title_full | The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| title_fullStr | The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| title_full_unstemmed | The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| title_short | The matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| title_sort | matrix form for weighted linear discriminant analysis and fractional linear discriminant analysis |
| topic | two dimensional linear discriminant analysis face recognition weighted linear discriminant analysis fraction-step linear discriminant analysis linear discriminant analysis |
| url | http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5212309 http://hdl.handle.net/20.500.11937/17966 |